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Finding the Fourth Proportional to 16,543.50, 22,830.21 and 8,989.84

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Solution

The fourth proportional to 16,543.50, 22,830.21 and 8,989.84 is: 12,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.50 : 22,830.21 = 8,989.84 : x
  2. Step 2: Convert to fraction form
    16,543.50/22,830.21 = 8,989.84/x
  3. Step 3: Cross multiply
    16,543.50x = 22,830.21 × 8,989.84
  4. Step 4: Simplify right side
    16,543.50x = 205,239,935.07
  5. Step 5: Solve for x
    x = 205,239,935.07/16,543.50
  6. Step 6: Final answer
    x = 12,406.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.